In an election between two candidates, one candidate secured 58% of the votes polled and won the election by 18,336 votes. Find the total number of votes polled and the votes secured by each candidate.

Given:

Winner won by = 18,336 votes

Votes secured by one candidate = 58 %

Votes secured by other candidate = (100 % - 58 %) = 42 %

Let the total number of votes be $x$.

Difference in votes of two candidates = 18,336

⇒ 58% of $x$ - 42% of $x$ = 18,336

⇒ (58% - 42%) of $x$ = 18,336

⇒ 16% of $x$ = 18,336

⇒ $\dfrac{16}{100} \times x = 18,336$

⇒ $x = \dfrac{18,336 \times 100}{16}$

⇒ $x = \dfrac{18,33,600}{16}$

⇒ $x = 1,14,600$

Votes secured by one candidate = 58 % of total votes

= $\dfrac{58}{100} \times 1,14,600$

= $\dfrac{66,46,800}{100}$

= 66,468

Votes secured by other candidate = 42 % of total votes

= $\dfrac{42}{100} \times 1,14,600$

= $\dfrac{48,13,200}{100}$

= 48,132

The total number of votes = 1,14,600, votes secured by one candidates = 66,468 and votes secured by other candidates = 48,132.